Processor technology is still dramatically advancing and promises
further enormous improvements in processing data for the next
decade. In contrast, much lower advances in /textit{moving data} are
expected such that the efficiency of many numerical software tools for
Partial Differential Equations (PDEs) is restricted by the cost for
memory access. In last year`s Research Report we outlined the
numerical concepts pursued at our chair to overcome the pinpointed
deficiencies while achieving high numerical and parallel efficiency at
the same time: adaptive Finite Element Method (FEM) approaches and
generalised multigrid/domain decomposition solvers of ScaRC
type,realised in the FEM package FEAST.
The aim of this article is to illustrate how problems from
Computational Structural Mechanics (CSM) and Computational Fluid
Dynamics (CFD) can be tackled in the FEAST framework. Since this basic
library only provides facilities to solve scalar problems, the
question is how to treat multi-field simulations. The main focus of
the article is concentrated on the design of appropriate
preconditioners for the resulting saddle point problems which have a
major impact on the numerical efficiency of the underlying iterative
algorithms.